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Finding the Third Proportional to 11,972,385 and 18,257,501.25

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Solution

The third proportional to 11,972,385 and 18,257,501.25 is: 27,842,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972,385 : 18,257,501.25 = 18,257,501.25 : x
  2. Step 2: Convert to fraction form
    11,972,385/18,257,501.25 = 18,257,501.25/x
  3. Step 3: Cross multiply
    11,972,385x = 18,257,501.25 × 18,257,501.25
  4. Step 4: Simplify right side
    11,972,385x = 333,336,351,893,751.56
  5. Step 5: Solve for x
    x = 333,336,351,893,751.56/11,972,385
  6. Step 6: Final answer
    x = 27,842,100.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.